Extended Holstein polaron model for charge transfer in dry DNA
Liu Tao(刘涛)a), Wang Yi(王忆)b)c), and Wang Ke-Lin(汪克林)a)c)
a School of Science, Southwest University of Science and Technology, Mianyang 621002, China; b Institute of Thin Films and Nano Materials, Wuyi University, Jiangmen 529020, China; c Department of Astronomy and Applied Physics,University of Science and Technology of China, Hefei 230026, China
Abstract The variational method is applied to the study of charge transfer in dry DNA by using an extended Holstein small polaron model in two cases: the site-dependent finite-chain discrete case and the site-independent continuous one. The treatments in the two cases are proven to be consistent in theory and calculation. Discrete and continuous treatments of Holstein model both can yield a nonlinear equation to describe the charge migration in an actual long-range DNA chain. Our theoretical results of binding energy Eb, probability amplitude of charge carrier $\phi$ and the relation between energy and charge--lattice coupling strength are in accordance with the available experimental results and recent theoretical calculations.
Received: 05 September 2005
Revised: 26 July 2006
Accepted manuscript online:
Fund: Project supported by the National Nature Science
Foundation of China (Grant No 50272063) and \ the Foundation for Excellent Talents of Anhui Province,
China (Grant No 2001Z016).
Cite this article:
Liu Tao(刘涛), Wang Yi(王忆), and Wang Ke-Lin(汪克林) Extended Holstein polaron model for charge transfer in dry DNA 2007 Chinese Physics 16 272
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